Staggered t-structures on derived categories of equivariant coherent sheaves

Simple item page
dc.creatorAchar, Pramod N.
dc.date2007-09-10
dc.date2009-04-06
dc.date.accessioned2026-07-07T12:59:55Z
dc.date.available2026-07-07T12:59:55Z
dc.descriptionLet X be a scheme, and let G be an affine group scheme acting on X. Under reasonable hypotheses on X and G, we construct a t-structure on the derived category of G-equivariant coherent sheaves that in many ways resembles the perverse coherent t-structure, but which incorporates additional information from the G-action. Under certain circumstances, this t-structure, called the "staggered t-structure," has an artinian heart, and its simple objects are particularly easy to describe. We also exhibit two small examples in which the staggered t-structure is better-behaved than the perverse coherent t-structure.
dc.description43 pages; corrected an error regarding s-structures on closed subschemes; expanded the review of equivariant derived categories
dc.identifierhttps://arxiv.org/abs/0709.1300
dc.identifierhttp://arxiv.org/abs/0709.1300
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/225718
dc.subjectRepresentation Theory
dc.subjectAlgebraic Geometry
dc.titleStaggered t-structures on derived categories of equivariant coherent sheaves
dc.typetext

Files

Collections

arXiv